form a quadric polynomial whose zeroes are 7+√5 and 7+√5
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Step-by-step explanation:
x=7+
5
x = 7 - \sqrt{5}x=7−
5
{x - 7 - \sqrt{5}} \: and \: x - 7 + \sqrt{5}x−7−
5
andx−7+
5
(x - 7 - \sqrt{5})(x - 7 + \sqrt{5})(x−7−
5
)(x−7+
5
)
(x - 7) {}^{2} - 5(x−7)
2
−5
x {}^{2} + 49 - 14x - 5x
2
+49−14x−5
x {}^{2} - 14x + 44x
2
−14x+44
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